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Finding the Fourth Proportional to 6,778.18, 10,155.63 and 6,093.40

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Solution

The fourth proportional to 6,778.18, 10,155.63 and 6,093.40 is: 9,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.18 : 10,155.63 = 6,093.40 : x
  2. Step 2: Convert to fraction form
    6,778.18/10,155.63 = 6,093.40/x
  3. Step 3: Cross multiply
    6,778.18x = 10,155.63 × 6,093.40
  4. Step 4: Simplify right side
    6,778.18x = 61,882,315.84
  5. Step 5: Solve for x
    x = 61,882,315.84/6,778.18
  6. Step 6: Final answer
    x = 9,129.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.